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Finding the Third Proportional to 343,999 and 505,886

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Solution

The third proportional to 343,999 and 505,886 is: 743,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,999 : 505,886 = 505,886 : x
  2. Step 2: Convert to fraction form
    343,999/505,886 = 505,886/x
  3. Step 3: Cross multiply
    343,999x = 505,886 × 505,886
  4. Step 4: Simplify right side
    343,999x = 255,920,644,996
  5. Step 5: Solve for x
    x = 255,920,644,996/343,999
  6. Step 6: Final answer
    x = 743,957.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.